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" The square of the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two sides. "
The Builder's Practical Guide: Containing a Complete Explanation of the ... - Page 674
by John Nicholson (Civil engineer) - 1830 - 182 pages
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Logick; Or, The Right Use of Reason in the Inquiry After Truth: With a ...

Isaac Watts - Conduct of life - 1801 - 342 pages
...mathematician assures •A ploughman that the three angles of a triangle are equal to two right angles, or that the square of the hypotenuse of 'a right-angled triangle is equal to the sum of the squares of the two sides; the ploughman, who has but confused ideas of these things,...
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The Operative Mechanic, and British Machinist: Being a Practical ..., Volume 1

John Nicholson - Machinery - 1825 - 838 pages
...hyperbola required. Remarks. — In a circle, the half chord DC, is a mean proportional between tire segments AD, DB of the diameter AB perpendicular to...is equal to the squares of both the sides. That is, AC* = AD2 + DC«, and BC* = BD* + DC«, andAB2= AC4 + BC*. 5. Triangles that have all the three angles...
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The Operative Mechanic, and British Machinist: Being a Practical ..., Volume 1

John Nicholson - Machinery - 1825 - 822 pages
...a mean proportional between AD and the diameter AB. And the chord BC a mean proportional between OB and AB. That is, AD : AC: : AC : AB, and BD : BC :...is equal to the squares of both the sides. That is, AC* = AD" + DC1, and BC* = BD* -f- DC', andAB°-= AC4 + BC4. 5. Triangles that have all the three angles...
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The Operative Mechanic, and British Machinist: Being a Practical Display of ...

John Nicholson (civil engineer.) - Great Britain - 1825 - 1008 pages
...That is AD : DC : : DC : DB. 2. The chord AC is a mean proportional between AD and theiameter A B. And the chord BC a mean proportional between DB and...square of the hypotenuse of a right-angled triangle, is equi to the squares of both the sides. That is, AC4 = AD« + DC8, and BC4 = BD' + DC9, andABa= AC2...
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The Philosophy of a Future State

Thomas Dick - Future life - 1829 - 308 pages
...as extremely trivial, and almost unworthy of regard. The properties of a triangle, such as, " that the square of the hypotenuse of a right-angled triangle, is equal to the squares of the other two sides" — " that the three angles of a triangle are equal to two right angles" — and,...
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The Operative Mechanic, and British Machinist: Being a Practical ..., Volume 2

John Nicholson (Esq. Civil Engineer.) - Great Britain - 1831 - 432 pages
...divisions on CE and DF, draw lines to G; a curve being drawn through the intersections at G, a, b, Sec. will be the hyperbola required. Remarks. — In a...the squares of both the sides. That is, AC2 = AD2 + DC2, andBC2 = BD2 + DC2, andAB3 = AC2 + BC2. 5. Triangles that have all the three angles of the one...
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The Philosophy of a Future State

Thomas Dick - Future life - 1836 - 306 pages
...as extremely trivial, and almost unworthy of regard. The properties of a triangle, such as, " that the square of the hypotenuse of a right-angled triangle is equal to the squares of the other two sides" — "tha-tthe three angles of a triangle are equal to two right angles" — and...
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Family Magazine: Or Monthly Abstract of General Knowledge..., Volume 4

1837 - 488 pages
...extraction of the square root ; but no figure or explanation is given, excepting the following foot-note : " The square of the hypotenuse of a right-angled triangle, is equal to the sum of the squares of the other two sides." It should be represented as under : GLASGOW. 44 miles....
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The Family Magazine, Volume 4

1837 - 490 pages
...extraction of the square root ; but no figure or explanation is given, excepting the following foot-note : " The square of the hypotenuse of a right-angled triangle, is equal to the sum of the squares of the other two sides." It should be represented as under : OLASGOW. 44 miles....
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The philosophy of a future state

Thomas Dick - 1840 - 298 pages
...thinker, as extremely trivial, and almost unworthy of regard. The properties of a triangle, such as, "that the square of the hypotenuse of a right-angled triangle is equal to the squares of the other two sides" — " tha't the three angles of a triangle are equal to two right angles" —...
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